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Overview

This volume presents the proceedings of a workshop on geometry, topology, and markets held at The Fields Institute. The workshop was attended by eminent mathematicians and financial and economic theorists. Using a topological approach, the volume discusses new mathematics and its applications to social sciences and financial markets. Topics addressed at the workshop included new topological invariants for existence, characterization and computation of market equilibria and their relation to social choice and to other forms of resource allocation, competitive and cooperative systems, algebraic geometry and markets with increasing returns, computational complexity, and stochastic processes and financial markets.

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Comprises four contributions that represent a cross-section of the topics covered at a July 1994 workshop at the Fields Institute in Waterloo, Ontario. The topics of the papers are: applications of dynamical systems to deterministic and stochastic economic models; financial arbitrage, market equilibrium, and core and social choice in the study of the economics of resource allocation; the state of the art in financial mathematics involving the pricing of American Options on assets that pay dividends; and two axioms from which emerge a representation theorem yielding a distinctive welfare criterion and a new form of cost benefit analysis. No index. Annotation c. by Book News, Inc., Portland, Or.

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